Research


Publications and Preprints

  1. The exceptional set in Cassel’s theorem on small cyclotomic integers, with Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya, Meghan Lee, Antoine Leudière, and Jorge Mello, submitted.
    arXiv

  2. Well-rounded twists of the ring of integrers of cyclic cubic fields, with Dat T. Tran, Ha T. N. Tran, and Dave Karpuk, submitted.
    arXiv

  3. Well-Rounded ideal lattices of cyclic cubic and quartic fields, with Dat T. Tran and Ha T. N. Tran, Communications in Mathematics, Vol. 31, Issue 2 (Oct 18, 2023).
    arXiv Journal

  4. Well-rounded twists of ideal lattices from imaginary quadratic fields, with Dat T. Tran and Ha T. N. Tran, Journal of Algebra and Its Applications, Vol. 21, No. 07, 2250133 (2022).
    arXiv Journal

Projects

  • Well-Rounded ideal lattices of biquadratic and pure cubic fields
    July 2025 – at present with Dat T. Tran, Morgan Smith, and Ha T. N. Tran

  • The exceptional set in Cassels’s theorem on smallcyclotomic integers
    June 2025 – October 2025 with Jitendra Bajpai, Srijan Das, Meghan Lee, Antoine Leudière, and Jorge Mello; under the supervision of Prof. Kiran S. Kedlaya.

  • Well-rounded Twists of Lattices in \(\mathbb{R}^3\)
    July 2023 – June 2025 with Dave Karpuk, Dat T. Tran, and Ha T. N. Tran.

  • Well-rounded ideals of cubic and quartic fields
    June 2021 – April 2023 with Dat T. Tran and Ha T. N. Tran.

  • On norm Euclidean tri-quadratic fields
    May 2020 – February 2021 with Amy Feaver, Dat T. Tran, and Ha T. N. Tran.

  • Well-rounded twists of quadratic fields
    January 2020 – June 2020 with Dat T. Tran and Ha T. N. Tran.